Finding the Third Proportional to 196,896 and 431,934
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Solution
The third proportional to 196,896 and 431,934 is: 947,540.73
Step by Step Solution
- Step 1: Write the proportion equation
196,896 : 431,934 = 431,934 : x - Step 2: Convert to fraction form
196,896/431,934 = 431,934/x - Step 3: Cross multiply
196,896x = 431,934 × 431,934 - Step 4: Simplify right side
196,896x = 186,566,980,356 - Step 5: Solve for x
x = 186,566,980,356/196,896 - Step 6: Final answer
x = 947,540.73
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.